Question

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Answer 1

${\huge{\red{\sf{Given}}}}\begin{cases}\leadsto\bf{2\sin 2\theta = \sqrt{3}} \end{cases}$

${\huge{\red{\sf{To\:Find}}}}\begin{cases}\leadsto \bf{The\:value\:of\:\theta}\end{cases}$

$\huge\red{\underline{\bf{\green{Answer:}}}}$

${\underline{\pink{\sf{\hookrightarrow Taking\:the\: given\: equation:}}}}$

$\sf{\implies 2\sin 2\theta =\sqrt{3}}$

$\sf{\implies \sin 2\theta=\dfrac{\sqrt{3}}{2}}$

$\sf{\implies \sin 2\theta=\sin 60^{\circ}}$

$\purple{\sf{Comparing\: both \:sides ,}}$

$\sf{\implies 2\theta = 60^{\circ}}$

$\sf{\implies \theta =\dfrac{60^{\circ}}{2}}$

${\underline{\boxed{\red{\bf{\longmapsto \theta =30^{\circ}}}}}}$

${\underline{\underline{\orange{\sf{\leadsto Hence \:the\:value\:of\:\theta\:is\:30^{\circ}}}}}}$

$\rule{200}5$

Some more values of sine:—

sin0° = 0.

sin 30° = ½.

sin 45° = 1/√2.

sin 60° = √3/2.

sin 90° = 1

Answer 2

Step-by-step explanation:

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